Question

Now, use this information to complete the equation for the line. Write it in slope-intercept form.

Answer 1

The slope-intercept form of the equation of a line is y = –4x.

Solution:

Points on the graph are (0, 0) and (1, –4).

Let us first find the slope of the line.

Slope of the line formula:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$x_1=0, y_1=0, x_2=1, y_2=-4$

Substitute these in the given formula, we get

$m=\frac{-4-0}{1-0}$

$m=\frac{-4}{1}$

$m=-4$

Slope = –4

Slope-intercept form:

$y-y_1=m(x-x_1)$

$y-0=-4 (x-0)$

$y=-4x$

y = –4x

Hence the slope-intercept form of the equation of a line is y = –4x.